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Finding the Fourth Proportional to 82,358.70, 123,538.05 and 62,675.70

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Solution

The fourth proportional to 82,358.70, 123,538.05 and 62,675.70 is: 94,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,358.70 : 123,538.05 = 62,675.70 : x
  2. Step 2: Convert to fraction form
    82,358.70/123,538.05 = 62,675.70/x
  3. Step 3: Cross multiply
    82,358.70x = 123,538.05 × 62,675.70
  4. Step 4: Simplify right side
    82,358.70x = 7,742,833,760.39
  5. Step 5: Solve for x
    x = 7,742,833,760.39/82,358.70
  6. Step 6: Final answer
    x = 94,013.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.